42038541986688

Names of 42038541986688

• Cardinal: 42038541986688 can be written as Forty-two trillion, thirty-eight billion, five hundred forty-one million, nine hundred eighty-six thousand, six hundred eighty-eight.

Scientific notation

• Scientific notation: 4.2038541986688 × 10¹³

Factors of 42038541986688

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 199

Divisors of 42038541986688

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 169 181 192 208 216 234 288 312 338 351 362 384 416 432 468 507 543 576 624 676 702 724 832 864 936 1014 1086 1152 1248 1352 1404 1448 1521 1629 1664 1728 1872 2028 2172 2197 2353 2496 2704 2808 2896 3042 3258 3456 3744 4056 4344 4394 4563 4706 4887 4992 5408 5616 5792 6084 6516 6591 7059 7488 8112 8688 8788 9126 9412 9774 10816 11232 11584 12168 13032 13182 14118 14976 16224 17376 17576 18252 18824 19548 19773 21177 21632 22464 23168 24336 26064 26364 28236 28561 30589 32448 32761 34752 35152 36504 37648 39096 39546 42354 44928 48672 52128 52728 56472 57122 59319 61178 63531 64896 65522 69504 70304 73008 75296 78192 79092 84708 85683 91767 97344 98283 104256 105456 112944 114244 118638 122356 127062 131044 140608 146016 150592 156384 158184 169416 171366 183534 194688 196566 208512 210912 225888 228488 237276 244712 254124 257049 262088 275301 281216 292032 294849 301184 312768 316368 338832 342732 367068 371293 393132 397657 421824 425893 451776 456976 474552 489424 508248 514098 524176 550602 584064 589698 625536 632736 677664 685464 734136 742586 771147 786264 795314 825903 843648 851786 884547 903552 913952 949104 978848 1016496 1028196 1048352 1101204 1113879 1179396 1192971 1265472 1277679 1355328 1370928 1468272 1485172 1542294 1572528 1590628 1651806 1703572 1769094 1827904 1898208 1957696 2032992 2056392 2096704 2202408 2227758 2358792 2385942 2530944 2555358 2710656 2741856 2936544 2970344 3084588 3145056 3181256 3303612 3341637 3407144 3538188 3578913 3655808 3796416 3833037 3915392 4065984 4112784 4193408 4404816 4455516 4717584 4771884 5110716 5169541 5483712 5536609 5873088 5940688 6169176 6290112 6362512 6607224 6683274 6814288 7076376 7157826 7592832 7666074 8131968 8225568 8809632 8911032 9435168 9543768 10024911 10221432 10339082 10736739 10967424 11073218 11499111 11746176 11881376 12338352 12580224 12725024 13214448 13366548 13628576 14152752 14315652 15332148 15508623 16451136 16609827 17619264 17822064 18870336 19087536 20049822 20442864 20678164 21473478 22146436 22998222 23762752 24676704 25450048 26428896 26733096 27257152 28305504 28631304 30664296 31017246 32902272 33219654 35238528 35644128 37740672 38175072 40099644 40885728 41356328 42946956 44292872 45996444 46525869 47525504 49353408 49829481 50900096 52857792 53466192 54514304 56611008 57262608 61328592 62034492 66439308 67204033 71288256 71975917 76350144 80199288 81771456 82712656 85893912 88585744 91992888 93051738 98706816 99658962 105715584 106932384 113222016 114525216 122657184 124068984 132878616 134408066 139577607 142576512 143951834 149488443 152700288 160398576 163542912 165425312 171787824 177171488 183985776 186103476 199317924 201612099 213864768 215927751 229050432 245314368 248137968 265757232 268816132 279155214 287903668 298976886 320797152 330850624 343575648 354342976 367971552 372206952 398635848 403224198 427729536 431855502 458100864 490628736 496275936 531514464 537632264 558310428 575807336 597953772 604836297 641594304 647783253 661701248 687151296 708685952 735943104 744413904 797271696 806448396 863711004 935686921 992551872 1063028928 1075264528 1116620856 1151614672 1195907544 1209672594 1283188608 1295566506 1374302592 1471886208 1488827808 1594543392 1612896792 1727422008 1814508891 1871373842 1943349759 1985103744 2126057856 2150529056 2233241712 2303229344 2391815088 2419345188 2591133012 2807060763 2977655616 3189086784 3225793584 3454844016 3629017782 3742747684 3886699518 4301058112 4466483424 4606458688 4783630176 4838690376 5182266024 5614121526 5955311232 6378173568 6451587168 6909688032 7258035564 7485495368 7773399036 8421182289 8602116224 8932966848 9212917376 9567260352 9677380752 10364532048 11228243052 12163929973 12903174336 13819376064 14516071128 14970990736 15546798072 16842364578 17865933696 19134520704 19354761504 20729064096 22456486104 24327859946 25263546867 25806348672 27638752128 29032142256 29941981472 31093596144 33684729156 36491789919 38709523008 41458128192 44912972208 48655719892 50527093734 58064284512 59883962944 62187192288 67369458312 72983579838 77419046016 82916256384 89825944416 97311439784 101054187468 109475369757 116128569024 119767925888 124374384576 134738916624 145967159676 179651888832 194622879568 202108374936 218950739514 232257138048 248748769152 269477833248 291934319352 328426109271 359303777664 389245759136 404216749872 437901479028 538955666496 583868638704 656852218542 778491518272 808433499744 875802958056 1077911332992 1167737277408 1313704437084 1556983036544 1616866999488 1751605916112 2335474554816 2627408874168 3233733998976 3503211832224 4670949109632 5254817748336 7006423664448 10509635496672 14012847328896 21019270993344 42038541986688
• Sum of all divisors σ(n): 135158105552400
• Sum of proper divisors (its aliquot sum) s(n): 93119563565712
• 42038541986688 is an abundant number, because the sum of its proper divisors (93119563565712) is greater than itself. Its abundance is 51081021579024

Bases of 42038541986688

• Binary: 1001100011101111011100010111001010101110000000₂
• Hexadecimal: 0x263BDC5CAB80
• Base-36: EWG8MHUO0

Squares and roots of 42038541986688

• 42038541986688 squared (42038541986688²) is 1767239012366529857969209344
• 42038541986688 cubed (42038541986688³) is 74292151421883399095869396245250333212672
• The square root of 42038541986688 is 6483713.5953624603
• The cube root of 42038541986688 is 34770.8959736839

Scales and comparisons

• 42,038,541,986,688 seconds is equal to 1,336,695 years, 31 weeks, 1 day, 22 hours, 4 minutes, 48 seconds.
• To count from 1 to 42,038,541,986,688 would take you about three million, three hundred forty-one thousand, seven hundred thirty-nine years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 42038541986688 cubic inches would be around 2897.6 feet tall.

Recreational maths with 42038541986688

• 42038541986688 backwards is 88668914583024
• 42038541986688 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 42038541986688's digits is 72
• More coming soon!